Generalized Cullen Numbers in Linear Recurrence Sequences

Yuri Bilu, Diego Marques, Alain Togb\' e

A Cullen number is a number of the form $m{2}^m+1$, where $m$ is a positive integer. In 2004, Luca and St\u anic\u a proved, among other things, that the largest Fibonacci number in…